405417201 has 32 divisors (see below), whose sum is σ = 641676288. Its totient is φ = 222868800.

The previous prime is 405417197. The next prime is 405417203. The reversal of 405417201 is 102714504.

It is not a de Polignac number, because 405417201 - 2² = 405417197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405417203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57151 + ... + 63851.

It is an arithmetic number, because the mean of its divisors is an integer number (20052384).

Almost surely, 2^405417201 is an apocalyptic number.

It is an amenable number.

405417201 is a deficient number, since it is larger than the sum of its proper divisors (236259087).

405417201 is a wasteful number, since it uses less digits than its factorization.

405417201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 405417201 is about 20134.9745716254. The cubic root of 405417201 is about 740.1175860139.

The spelling of 405417201 in words is "four hundred five million, four hundred seventeen thousand, two hundred one".